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ACMSM050

model periodic motion using sine and cosine functions and understand the relevance of the period and amplitude of these functions in the model.

use a bipartite graph and/or its tabular or matrix form to represent an assignment/ allocation problem; for example, assigning four swimmers to the four places in a medley relay team to maximise the team’s chances of winning

ACMEM174

use technology and a recurrence relation to model a reducing balance loan

ACMGM057

model a linear relationship by fitting a least-squares line to the data

ACMGM058

use a residual plot to assess the appropriateness of fitting a linear model to the data

ACMMM143

use a Bernoulli random variable as a model for two-outcome situations

Senior secondary Mathematics subjects

The Senior Secondary Australian Curriculum: Mathematics consists of four subjects in mathematics, with each subject organised into four units. The subjects are differentiated, each focusing on a pathway that will meet the learning needs of a particular …

Senior secondary Mathematics subjects | Mathematics | Senior secondary curriculum

Structure of General Mathematics General Mathematics

General Mathematics is organised into four units. The topics in each unit broaden students’ mathematical experience and provide different scenarios for incorporating mathematical arguments and problem solving. The units provide a blending of algebraic, …

Structure of General Mathematics | General Mathematics | Mathematics | Senior secondary curriculum

Unit 1 Essential Mathematics

This unit provides students with the mathematical skills and understanding to solve problems relating to calculations, applications of measurement, the use of formulas to find an unknown quantity, and the interpretation of graphs. Teachers are encouraged …

Unit 1 | Essential Mathematics | Mathematics | Senior secondary curriculum

Unit 2 Essential Mathematics

This unit provides students with the mathematical skills and understanding to solve problems related to representing and comparing data, percentages, rates and ratios, the mathematics of finance, and time and motion. Teachers are encouraged to apply the …

Unit 2 | Essential Mathematics | Mathematics | Senior secondary curriculum

Unit 3 Essential Mathematics

This unit provides students with the mathematical skills and understanding to solve problems related to measurement, scales, plans and models, drawing and interpreting graphs, and data collection. Teachers are encouraged to apply the content of the four …

Unit 3 | Essential Mathematics | Mathematics | Senior secondary curriculum

Unit 3 General Mathematics

This unit has three topics: ‘Bivariate data analysis’, ‘Growth and decay in sequences’ and ‘Graphs and networks’. ‘Bivariate data analysis’ introduces students to some methods for identifying, analysing and describing associations between pairs of variables, …

Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum

Unit 4 General Mathematics

This unit has three topics: ‘Time series analysis’; ‘ Loans, investments and annuities’ and ‘Networks and decision mathematics’. ‘Time series analysis’ continues students’ study of statistics by introducing them to the concepts and techniques of time …

Unit 4 | General Mathematics | Mathematics | Senior secondary curriculum

Unit 2 General Mathematics

This unit has three topics: ‘Univariate data analysis and the statistical investigation process’, ‘Linear equations and their graphs’; and ‘Applications of trigonometry’. ‘ Univariate data analysis and the statistical investigation process’ develops …

Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum

ACMGM042

interpret, in context, the slope and intercept of a straight-line graph used to model and analyse a practical situation

ACMGM092

fit a least-squares line to model long-term trends in time series data.

ACMMM138

recognise uniform discrete random variables and use them to model random phenomena with equally likely outcomes

ACMMM146

use Bernoulli random variables and associated probabilities to model data and solve practical problems.

Overview of the senior secondary Australian Curriculum

ACARA has developed a senior secondary Australian Curriculum for English, Mathematics, Science and Humanities and Social Sciences. The senior secondary Australian Curriculum specifies content and achievement standards for each senior secondary subject. …

Overview of the senior secondary Australian Curriculum | Mathematics | Senior secondary curriculum

ACMGM068

display the terms of an arithmetic sequence in both tabular and graphical form and demonstrate that arithmetic sequences can be used to model linear growth and decay in discrete situations

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